Atkin-Lehner |
2- 7- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
97552m |
Isogeny class |
Conductor |
97552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-699252736 = -1 · 214 · 72 · 13 · 67 |
Discriminant |
Eigenvalues |
2- -2 -2 7- -4 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,216,436] |
[a1,a2,a3,a4,a6] |
Generators |
[12:70:1] |
Generators of the group modulo torsion |
j |
270840023/170716 |
j-invariant |
L |
2.9594712927347 |
L(r)(E,1)/r! |
Ω |
0.99886902509366 |
Real period |
R |
1.4814110852726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990414 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12194c1 |
Quadratic twists by: -4 |